Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
104 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 35 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. Q32×D23 | C2 | semidirect |
| 3. #13092257 | C2 | semidirect |
| 4. #13092256 | C2 | semidirect |
| 5. #13092254 | C2 | semidirect |
| 6. #13092250 | C2 | semidirect |
| 7. C23×Q64 | C2 | semidirect |
| 52. Q64 | D23 | semidirect |
| 70. C23 | #2264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092850 | 2 |
| Q32×D23 | 2 |
| #13092257 | 2 |
| #13092256 | 2 |
| #13092254 | 2 |
| #13092250 | 2 |
| C23×Q64 | 2 |
| #2264 | 23 |